This paper investigates static output feedback guaranteed cost control for a class of nonlineardiscrete-time systems where the delay in state vector is inconsistent with the delay in nonlinearperturbations. Based on the output measurement, the controller is designed to ensure the robust exponentiallystability of the closed-loop system and guarantee the performance of system to achieve anadequate level. By using the Lyapunov-Krasovskii functional method, some sufficient conditions forthe existence of robust output feedback guaranteed cost controller are established in terms of linearmatrix inequality. A numerical example is provided to show the effectiveness of the results obtained.